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Finding the Third Proportional to 50,149 and 70,103

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Solution

The third proportional to 50,149 and 70,103 is: 97,996.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,149 : 70,103 = 70,103 : x
  2. Step 2: Convert to fraction form
    50,149/70,103 = 70,103/x
  3. Step 3: Cross multiply
    50,149x = 70,103 × 70,103
  4. Step 4: Simplify right side
    50,149x = 4,914,430,609
  5. Step 5: Solve for x
    x = 4,914,430,609/50,149
  6. Step 6: Final answer
    x = 97,996.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.